My MSc and PhD students are working on a wide variety of problems studying homotopical algebraic structures that arise in low dimensional topology, algebraic geometry, quantum algebra, combinatorics and category theory. At the moment, I have many students and can only accept new Ph.D. students if they plan to commence in 2023 or later. For current MSc students at the University of Melbourne, the easiest way to contact me is before or after the Topology Seminar or to drop in to my office - Peter Hall G28a. For full information about our graduate program see the "Study" page here.
- Olivia Borghi is working on her Ph.D. Olivia is thinking about cactus groups, cyclic operads and coboundary categories.
- Patrick Elliott is working on his Ph.D., jointly supervised by Christian Haesemeyer. Patrick is thinking about new models for infinity cyclic operads. He is expected to finish his degree in early 2022.
- Tamara Hogan finished her MSc on planar algebras, knot invariants and the Kashiwara-Vergne conjecture under my supervision in 2019. She is currently working on Ph.D. jointly supervised by myself and Zsuzsanna Dancso at the University of Sydney.
- Chandan Singh is working on his Ph.D. Chandan is currently thinking about the use of operads in higher category theory.
- Kurt Stoeckl is working on his Ph.D., jointly supervised by Jan De Gier. Kurt is currently developing a theory of Gröbner bases for properads and props.
- Michelle Strumila has finished her PhD on quasi-modular operads in 2020. Michelle is currently working at Monash University.
- Santiago Nahuel Martinez finished his MSc in 2021. Santiago thought about the connection between dessin de enfant and higher genus mapping class groups. His project proposed a new graphical model for higher genus dessin. Santiago is now working in industry.
- Ethan Armitage finished his Masters at Melbourne in 2018, Profinite Completion of Modular Operads and an Infinity Cyclic Operad of Surfaces. Ethan won the Wilson Prize for his thesis and is currently pursing a Ph.D. at the University of British Colombia in Canada.
- Musashi Koyama finished his Masters at Melbourne in 2017, Applications of Cyclic Wiring Diagrams, and went on to a PhD at The Ohio State University. Musashi won the Nanson Prize for his thesis.
- Cole Hugelmeyer finished his Masters/Honors at UCLA in 2015 and is now working on his PhD at Princeton.